Answer with Explanation:
Probability Expected Loss Loss Forecast
0.5 0 0
0.1 200 20
0.2 400 80
0.1 1000 100
0.1 2000 200
1.00 Total 400
Now,
A. Final Wealth with no Insurance = Physical Assets of the person + Cash Assets - Total Loss Forecast
By putting values, we have:
Final Wealth with no Insurance = $2,000 + $600 - $400 = $2,200
B. For Full insurance, we will not consider expected loss because we will receive Insurance Premium instead:
Final Wealth with Full Insurance = Physical Assets + Cash Assets - Insurance Premium
By putting values, we have:
Final Wealth with Full Insurance = $2,000 + $600 - $600 = $2,000
C. Final Wealth with Partial Insurance and $200 deductibles = Physical Assets + Cash Assets - Insurance Premium For Partial Coverage - Deductible
By putting values, we have:
Final Wealth with Partial Insurance and $200 deductibles = $2,000 + $600 - $450 - $200 = $1,950
D. Final Wealth with 75% Co-insurance = Physical Assets + Cash Assets - Insurance Premium - Co-payment
By putting values, we have:
Final Wealth with 75% Co-Insurance = $2,000 + $600 - $450 - (75% * $400)
= $1,850
E. Final Wealth with Partial Insurance and $1,000 Upper Limit = Physical Assets + Cash Assets - Insurance Premium - Maximum Loss Expected
By putting values, we have:
= $2,000 + $600 - $450 - (Probability 0.1 * $2,000) = $1950
From the above, we can say that the best option here in descending order is as under:
1. A. Final Wealth with no Insurance
2. B. With Full insurance
3. C. Final Wealth with Partial Insurance and $200 deductibles & E. Final Wealth with Partial Insurance and $1,000 Upper Limit
4. E. Final Wealth with Partial Insurance and $1,000 Upper Limit
